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Finding the Fourth Proportional to 100,596.38, 150,664.91 and 48,042.77

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Solution

The fourth proportional to 100,596.38, 150,664.91 and 48,042.77 is: 71,954.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,596.38 : 150,664.91 = 48,042.77 : x
  2. Step 2: Convert to fraction form
    100,596.38/150,664.91 = 48,042.77/x
  3. Step 3: Cross multiply
    100,596.38x = 150,664.91 × 48,042.77
  4. Step 4: Simplify right side
    100,596.38x = 7,238,358,624.66
  5. Step 5: Solve for x
    x = 7,238,358,624.66/100,596.38
  6. Step 6: Final answer
    x = 71,954.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.